\[ y'(x)=\frac {\csc (y(x)) \left (\frac {1}{2} x^2 \log (x) \cos (2 y(x))+\frac {1}{2} x^2 \log (x)-\cos (y(x))\right )}{x \log (x)} \] ✓ Mathematica : cpu = 0.377645 (sec), leaf count = 59
\[\left \{\left \{y(x)\to -\sec ^{-1}\left (-\frac {4 c_1+x^2-2 x^2 \log (x)}{4 \log (x)}\right )\right \},\left \{y(x)\to \sec ^{-1}\left (-\frac {4 c_1+x^2-2 x^2 \log (x)}{4 \log (x)}\right )\right \}\right \}\]
✓ Maple : cpu = 0.738 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) =\arccos \left ( 4\,{\frac {\ln \left ( x \right ) }{2\,{x}^{2}\ln \left ( x \right ) -{x}^{2}+4\,{\it \_C1}}} \right ) \right \} \]